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A113146 Row 5 of table A113143; equal to INVERT of quintic (or 5-fold) factorials shifted one place right. 1
1, 1, 2, 9, 83, 1226, 24727, 627909, 19169758, 682800001, 27776711627, 1270110048234, 64470498348983, 3596569233141701, 218698213338646702, 14395754017090902609, 1019782749198898131883, 77351848007810972904826 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n) = Sum_{j=0..k} 5^(k-j)*A111146(k, j).

a(0) = 1; a(n+1) = Sum_{k=0..n} a(k)*A008548(n-k).

EXAMPLE

A(x) = 1 + x + 2*x^2 + 9*x^3 + 83*x^4 + 1226*x^5 +...

= 1/(1 - x - x^2 - 6*x^3 - 66*x^4 -...- A008548(n)*x^(n+1)

-...).

PROG

(PARI) {a(n)=local(x=X+X*O(X^n)); A=1/(1-x-x^2*sum(j=0, n, x^j*prod(i=0, j, 5*i+1))); return(polcoeff(A, n, X))}

CROSSREFS

Cf. A113143, A008548 (5-fold factorials).

Sequence in context: A006040 A067309 A087798 * A323769 A296581 A069234

Adjacent sequences:  A113143 A113144 A113145 * A113147 A113148 A113149

KEYWORD

nonn

AUTHOR

Philippe Deléham and Paul D. Hanna, Oct 28 2005

STATUS

approved

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Last modified January 23 22:36 EST 2020. Contains 331177 sequences. (Running on oeis4.)